English

Limit Theorems for Additive Functionals of Path-Dependent SDEs

Probability 2019-04-08 v1

Abstract

By using limit theorems of uniform mixing Markov processes and martingale difference sequences, the strong law of large numbers, central limit theorem, and the law of iterated logarithm are established for additive functionals of path-dependent stochastic differential equations.

Keywords

Cite

@article{arxiv.1904.02940,
  title  = {Limit Theorems for Additive Functionals of Path-Dependent SDEs},
  author = {Jianhai Bao and Feng-Yu Wang and Chenggui Yuan},
  journal= {arXiv preprint arXiv:1904.02940},
  year   = {2019}
}

Comments

20 pages

R2 v1 2026-06-23T08:30:10.982Z